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Simplifying log(13)(k + 4) + log(13) * k = log(13) * 21 Reorder the terms: glo * 13(4 + k) + log(13) * k = log(13) * 21 Reorder the terms for easier multiplication: 13glo(4 + k) + log(13) * k = log(13) * 21 (4 * 13glo + k * 13glo) + log(13) * k = log(13) * 21 Reorder the terms: (13gklo + 52glo) + log(13) * k = log(13) * 21 (13gklo + 52glo) + log(13) * k = log(13) * 21 Reorder the terms for easier multiplication: 13gklo + 52glo + 13glo * k = log(13) * 21 Multiply glo * k 13gklo + 52glo + 13gklo = log(13) * 21 Reorder the terms: 13gklo + 13gklo + 52glo = log(13) * 21 Combine like terms: 13gklo + 13gklo = 26gklo 26gklo + 52glo = log(13) * 21 Reorder the terms for easier multiplication: 26gklo + 52glo = 13 * 21glo Multiply 13 * 21 26gklo + 52glo = 273glo Solving 26gklo + 52glo = 273glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-273glo' to each side of the equation. 26gklo + 52glo + -273glo = 273glo + -273glo Combine like terms: 52glo + -273glo = -221glo 26gklo + -221glo = 273glo + -273glo Combine like terms: 273glo + -273glo = 0 26gklo + -221glo = 0 Factor out the Greatest Common Factor (GCF), '13glo'. 13glo(2k + -17) = 0 Ignore the factor 13.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2k + -17)' equal to zero and attempt to solve: Simplifying 2k + -17 = 0 Reorder the terms: -17 + 2k = 0 Solving -17 + 2k = 0 Move all terms containing g to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2k = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2k = 0 + 17 2k = 0 + 17 Combine like terms: 0 + 17 = 17 2k = 17 Add '-2k' to each side of the equation. 2k + -2k = 17 + -2k Combine like terms: 2k + -2k = 0 0 = 17 + -2k Simplifying 0 = 17 + -2k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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